GCD of 869, 660, 22, 414 Calculator

Given Input numbers are 869, 660, 22, 414

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 869

List of positive integer divisors of 869 that divides 869 without a remainder.

1, 11, 79, 869

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Greatest Common Divisior

We found the divisors of 869, 660, 22, 414 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 869, 660, 22, 414 is 1.

Therefore, GCD of numbers 869, 660, 22, 414 is 1

Given Input Data is 869, 660, 22, 414

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 869 is 11 x 79

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 22 is 2 x 11

Prime Factorization of 414 is 2 x 3 x 3 x 23

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(869, 660) = 52140

GCD(869, 660) = ( 869 x 660 ) / 52140

GCD(869, 660) = 573540 / 52140

GCD(869, 660) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 22

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(11, 22) = 22

GCD(11, 22) = ( 11 x 22 ) / 22

GCD(11, 22) = 242 / 22

GCD(11, 22) = 11

Step3:

Here we consider the GCD from the above i.e. 11 as first number and the next as 414

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(11, 414) = 4554

GCD(11, 414) = ( 11 x 414 ) / 4554

GCD(11, 414) = 4554 / 4554

GCD(11, 414) = 1

GCD of 869, 660, 22, 414 is 1

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• GCD of 105, 509, 72, 839
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• GCD of 907, 748, 72, 741

1. What is the GCD of 869, 660, 22, 414?

GCD of 869, 660, 22, 414 is 1

2. Where do I get the detailed procedure to find GCD of 869, 660, 22, 414?

You can find a detailed procedure to find GCD of 869, 660, 22, 414 on our page.

3. How to find GCD of 869, 660, 22, 414 on a calculator?

You can find the GCD of 869, 660, 22, 414 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.